The N=1 supersymmetric bootstrap and Lie algebas

Details The N=1 supersymmetric bootstrap and Lie algebas The N=1 supersymmetric bootstrap and Lie algebas

1996-06-19

arxiv.org/abs/hep-th/9606116v1

Nucl.Phys. B484 (1997) 631-652

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 3 figures (uses psfig.tex), plain tex with macro included

Scientific paper

10.1016/S0550-3213(96)00625-6

The bootstrap programme for finding exact S-matrices of integrable quantum field theories with N=1 supersymmetry is investigated. New solutions are found which have the same fusing data as bosonic theories related to the classical affine Lie algebras. When the states correspond to a spinor spot of the Dynkin diagram they are kinks which carry a non-zero topological charge. Using these results, the S-matrices of the supersymmetric O($2n$) sigma model and sine-Gordon model can be shown to close under the bootstrap.

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